Question

Factorize x³ + x⁴ + x⁵ + x²​

Answer 1

Answer:

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x4"   was replaced by   "x^4".  1 more similar replacement(s).

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  x5 + x4 + x2  =   x2 • (x3 + x2 + 1)  

Polynomial Roots Calculator :

2.2    Find roots (zeroes) of :       F(x) = x3 + x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

 

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1